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Year 6 · Maths · Ratio · Lesson 2

Sharing in a ratio

Share amounts in a given ratio using bar models, and solve ratio problems where one share or the difference is known.

Whiteboard video lesson: Sharing in a ratio

26-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Share an amount in a ratio
  • Find one part
  • Use a known share to find another
  • Use the difference between shares
  • Check answers

The method

  1. Draw a bar for each part.
  2. Add the parts.
  3. Total ÷ parts = one part.
  4. Multiply. Check.

Key words: ratio, share, part, bar model, total.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Share £20 between Ali and Bea in the ratio 1 : 4.

  1. Step 1: Draw a bar model: Ali 1 box, Bea 4 boxes
  2. Step 2: Total parts: 1 + 4 = 5
  3. Step 3: One part: £20 ÷ 5 = £4
  4. Step 4: Fill the boxes
  5. Step 5: Ali: 1 × £4 = £4, Bea: 4 × £4 = £16

Answer: Ali £4, Bea £16

Question 2

Share £30 between Cy and Di in the ratio 2 : 3.

  1. Step 1: Draw a bar model: Cy 2 boxes, Di 3 boxes
  2. Step 2: Total parts: 2 + 3 = 5
  3. Step 3: One part: £30 ÷ 5 = £6
  4. Step 4: Fill the boxes
  5. Step 5: Cy: 2 × £6 = £12, Di: 3 × £6 = £18

Answer: Cy £12, Di £18

Question 3

Share 56 marbles between Ed and Flo in the ratio 3 : 4.

  1. Step 1: Draw a bar model: Ed 3 boxes, Flo 4 boxes
  2. Step 2: Total parts: 3 + 4 = 7
  3. Step 3: One part: 56 marbles ÷ 7 = 8 marbles
  4. Step 4: Fill the boxes
  5. Step 5: Ed: 3 × 8 marbles = 24 marbles, Flo: 4 × 8 marbles = 32 marbles

Answer: Ed 24 marbles, Flo 32 marbles